Edit Profile Iserles, Arieh Compute Distance To: Compute Author ID: iserles.arieh Published as: Iserles, A.; Iserles, Arieh Homepage: http://www.damtp.cam.ac.uk/user/na/people/Arieh/Arieh_Iserles/Arieh_Iserles.html External Links: MGP · Wikidata · ORCID · ResearchGate · dblp · GND Documents Indexed: 250 Publications since 1977, including 51 Books Biographic References: 2 Publications all top 5 Co-Authors 110 single-authored 43 Nørsett, Syvert Paul 13 Condon, Marissa 12 Zanna, Antonella 10 Deaño, Alfredo 7 Buhmann, Martin Dietrich 7 Gao, Jing 7 Hairer, Ernst 6 Kropielnicka, Karolina 5 Bloch, Anthony M. 5 Saff, Edward Barry 5 Singh, Pranav 4 Böttcher, Albrecht 4 Cantero, María José 4 Huybrechs, Daan 4 Liu, Yunkang 3 Brunner, Hermann 3 Celledoni, Elena 3 Grudsky, Sergei Mikhailovich 3 Sanz-Serna, Jesús María 2 Bader, Philipp 2 Baxter, Brad J. C. 2 Budd, Christopher John 2 Calvo, M. P. 2 Fokas, Athanassios S. 2 Hochbruck, Marlis 2 Koch, Per Erik 2 Levin, David N. 2 Liu, Xiaoyan 2 Lubich, Christian 2 Paz Calvo, Mari 2 Powell, Michael James David 2 Strang, William Gilbert 2 Stuart, Andrew M. 2 Wang, Bin 2 Webb, Marcus 2 Wu, Xinyuan 1 Adcock, Ben 1 Blanes, Sergio 1 Blatt, Hans-Peter 1 Brînzănescu, Vasile 1 Broomhead, David S. 1 Casas, Fernando 1 Derfel, Gregory 1 DeVore, Ronald A. 1 Engquist, Bjorn E. 1 Feldstein, Alan 1 Gómez-Ullate, David 1 Levi, Decio 1 Liu, Changying 1 MacNamara, Shev F. 1 Maczynski, Kornel 1 Marsden, Jerrold Eldon 1 Marthinsen, Arne 1 McLachlan, Robert I. 1 Munthe-Kaas, Hans Z. 1 Olver, Peter John 1 Olver, Sheehan Shakiban 1 Orel, Bojan 1 Peplow, Andrew T. 1 Quispel, Gilles Reinout Willem 1 Quispel, Reinout 1 Ramaswami, Geetha 1 Ramos, Alberto Gil Couto Pimentel 1 Rasmussen, Atgeirr Flø 1 Ratiu, Tudor Stefan 1 Smitheman, S. A. 1 Söderlind, Gustaf 1 Sofroniou, Mark 1 Süli, Endre E. 1 Tempesta, Piergiulio 1 Terjéki, József 1 Tse, P. S. P. 1 Üsküplü Altınbaşak, Sevda 1 Williamson, R. A. 1 Winternitz, Pavel 1 Xu, Tao all top 5 Serials 39 Acta Numerica 24 IMA Journal of Numerical Analysis 11 Mathematics of Computation 10 BIT 9 SIAM Journal on Numerical Analysis 8 Foundations of Computational Mathematics 7 Applied Numerical Mathematics 6 Journal of Computational and Applied Mathematics 6 SIAM Journal on Mathematical Analysis 4 Numerische Mathematik 4 Transactions of the American Mathematical Society 3 Journal of Computational Physics 3 Journal of Mathematical Analysis and Applications 3 European Journal of Applied Mathematics 3 Annals of Numerical Mathematics 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Computers & Mathematics with Applications 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Journal of Approximation Theory 2 Journal of Computational Mathematics 2 Journal of Complexity 2 Constructive Approximation 2 Journal of Integral Equations and Applications 2 Numerical Algorithms 2 Advances in Computational Mathematics 2 Discrete and Continuous Dynamical Systems 2 Oberwolfach Reports 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 BIT. Nordisk Tidskrift for Informationsbehandling 2 London Mathematical Society Lecture Note Series 2 Cambridge Texts in Applied Mathematics 1 Communications in Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Calcolo 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Differential Equations 1 Journal of the London Mathematical Society. Second Series 1 Utilitas Mathematica 1 Bulletin of the Greek Mathematical Society 1 Physica D 1 COMPEL 1 SIAM Journal on Matrix Analysis and Applications 1 CWI Quarterly 1 Journal of Physics A: Mathematical and General 1 Bulletin. The Institute of Mathematics and its Applications 1 Notices of the American Mathematical Society 1 Celestial Mechanics and Dynamical Astronomy 1 New Zealand Journal of Mathematics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 The New York Journal of Mathematics 1 Methods and Applications of Analysis 1 The Journal of Fourier Analysis and Applications 1 European Mathematical Society Newsletter 1 LMS Journal of Computation and Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 HERMIS-\(\mu\pi\). Hellenic European Research on Mathematics and Informatics Science 1 Applied Mathematics and Mathematical Computation 1 CRM Proceedings & Lecture Notes 1 Science China. Mathematics 1 S\(\vec{\text{e}}\)MA Journal 1 Journal of Computational Dynamics 1 Research in the Mathematical Sciences 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Other Titles in Applied Mathematics all top 5 Fields 199 Numerical analysis (65-XX) 78 Ordinary differential equations (34-XX) 51 General and overarching topics; collections (00-XX) 40 Approximations and expansions (41-XX) 28 Partial differential equations (35-XX) 24 Harmonic analysis on Euclidean spaces (42-XX) 22 Dynamical systems and ergodic theory (37-XX) 17 Special functions (33-XX) 9 Functions of a complex variable (30-XX) 7 Integral equations (45-XX) 6 Nonassociative rings and algebras (17-XX) 6 Topological groups, Lie groups (22-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Difference and functional equations (39-XX) 4 Operator theory (47-XX) 4 Optics, electromagnetic theory (78-XX) 3 Real functions (26-XX) 2 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Sequences, series, summability (40-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 188 Publications have been cited 2,466 times in 1,432 Documents Cited by ▼ Year ▼ Lie-group methods. Zbl 1064.65147Iserles, Arieh; Munthe-Kaas, Hans Z.; Nørsett, Syvert P.; Zanna, Antonella 160 2000 Efficient quadrature of highly oscillatory integrals using derivatives. Zbl 1145.65309Iserles, Arieh; Nørsett, Syvert P. 143 2005 A first course in the numerical analysis of differential equations. 2nd ed. Zbl 1171.65060Iserles, Arieh 122 2009 On the generalized pantograph functional-differential equation. Zbl 0767.34054Iserles, A. 104 1993 On the solution of lienar differential equations in Lie groups. Zbl 0958.65080Iserles, A.; Nørsett, S. P. 97 1999 On polynomials orthogonal with respect to certain Sobolev inner products. Zbl 0734.42016Iserles, Arieh; Koch, P. E.; Nørsett, Syvert P.; Sanz-Serna, J. M. 97 1991 On quadrature methods for highly oscillatory integrals and their implementation. Zbl 1076.65025Iserles, A.; Nørsett, S. P. 93 2004 Qualitative numerical analysis of ordinary differential equations. Zbl 0856.65082Iserles, Arieh; Zanna, Antonella 62 1996 Stability of the discretized pantograph differential equation. Zbl 0774.34057Buhmann, Martin; Iserles, Arieh 58 1993 Arbitrary-order trigonometric Fourier collocation methods for multi-frequency oscillatory systems. Zbl 1341.65029Wang, Bin; Iserles, Arieh; Wu, Xinyuan 48 2016 On the numerical quadrature of highly-oscillating integrals. I: Fourier transforms. Zbl 1061.65149Iserles, Arieh 48 2004 On neutral functional-differential equations with proportional delays. Zbl 0873.34066Iserles, Arieh; Liu, Yunkang 40 1997 The pantograph equation in the complex plane. Zbl 0891.34072Derfel, G.; Iserles, A. 36 1997 Geometric integration: Numerical solution of differential equations on manifolds. Zbl 0933.65142Budd, C. J.; Iserles, A. 35 1999 Numerical solution of isospectral flows. Zbl 0907.65067Calvo, Mari Paz; Iserles, Arieh; Zanna, Antonella 32 1997 From high oscillation to rapid approximation. I: Modified Fourier expansions. Zbl 1221.65348Iserles, Arieh; Nørsett, Syvert P. 28 2008 On the numerical quadrature of highly-oscillating integrals. II: Irregular oscillators. Zbl 1069.65148Iserles, Arieh 28 2005 Stability and dynamics of numerical methods for nonlinear ordinary differential equations. Zbl 0686.65054Iserles, A. 28 1990 Approximating the exponential from a Lie algebra to a Lie group. Zbl 0956.65009Celledoni, Elena; Iserles, Arieh 27 2000 On the global error of discretization methods for highly-oscillatory ordinary differential equations. Zbl 1027.65107Iserles, Arieh 26 2002 On the implementation of the method of Magnus series for linear differential equations. Zbl 0933.65077Iserles, A.; Marthinsen, A.; Nørsett, S. P. 25 1999 On the theory of parallel Runge-Kutta methods. Zbl 0712.65071Iserles, Arieh; Nørsett, Syvert P. 25 1990 Quadrature methods for multivariate highly oscillatory integrals using derivatives. Zbl 1095.65019Iserles, Arieh; Nørsett, Syvert P. 24 2006 Highly oscillatory quadrature: the story so far. Zbl 1119.65317Iserles, A.; Nørsett, S. P.; Olver, S. 22 2006 Exact and discretized stability of the pantograph equation. Zbl 0880.65058Iserles, Arieh 22 1997 Solving linear ordinary differential equations by exponentials of iterated commutators. Zbl 0562.65046Iserles, A. 22 1984 The optimal accuracy of difference schemes. Zbl 0573.65071Iserles, Arieh; Strang, Gilbert 22 1983 Methods for the approximation of the matrix exponential in a Lie-algebraic setting. Zbl 1009.65040Celledoni, Elena; Iserles, Arieh 21 2001 Stability and asymptotic stability of functional-differential equations. Zbl 0832.34080Iserles, Arieh; Terjéki, József 21 1995 Numerical analysis of delay differential equations with variable delays. Zbl 0828.65083Iserles, Arieh 21 1994 Think globally, act locally: Solving highly-oscillatory ordinary differential equations. Zbl 1016.65050Iserles, Arieh 20 2002 On the dynamics of a discretized neutral equation. Zbl 0759.65056Buhmann, M. D.; Iserles, A. 19 1992 Generalized leapfrog methods. Zbl 0637.65089Iserles, A. 19 1986 B-series methods cannot be volume-preserving. Zbl 1128.65054Iserles, A.; Quispel, G. R. W.; Tse, P. S. P. 18 2007 Preserving algebraic invariants with Runge-Kutta methods. Zbl 0969.65069Iserles, Arieh; Zanna, Antonella 18 2000 A unified approach to spurious solutions introduced by time discretization. I: Basic theory. Zbl 0736.65050Iserles, A.; Peplow, A. T.; Stuart, A. M. 18 1991 Efficient computation of the matrix exponential by generalized polar decompositions. Zbl 1084.65040Iserles, Arieh; Zanna, Antonella 17 2005 Runge-Kutta methods for neutral differential equations. Zbl 0834.65061Buhmann, M. D.; Iserles, A.; Nørsett, S. P. 17 1993 Orthogonality and approximation in a Sobolev space. Zbl 0749.41030Iserles, Arieh; Sanz-Serna, J. M.; Koch, P. E.; Nørsett, Syvert P. 17 1990 Effective approximation for the semiclassical Schrödinger equation. Zbl 1302.65230Bader, Philipp; Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav 16 2014 The spectral problem for a class of highly oscillatory Fredholm integral operators. Zbl 1185.45002Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P. 16 2010 Highly oscillatory problems. Zbl 1170.37002Engquist, Bjorn (ed.); Fokas, Athanasios (ed.); Hairer, Ernst (ed.); Iserles, Arieh (ed.) 16 2009 On pantograph integro-differential equations. Zbl 0816.45005Iserles, Arieh; Liu, Yunkang 16 1994 Order stars. Zbl 0743.65062Iserles, Arieh; Nørsett, Syvert P. 16 1991 From high oscillation to rapid approximation. III: Multivariate expansions. Zbl 1188.65149Iserles, Arieh; Nørsett, Syvert P. 15 2009 Explicit Magnus expansions for nonlinear equations. Zbl 1095.65060Casas, Fernando; Iserles, Arieh 15 2006 How large is the exponential of a banded matrix? Zbl 0968.22016Iserles, Arieh 15 2000 Runge-Kutta methods for orthogonal and isospectral flows. Zbl 0871.65074Calvo, M. P.; Iserles, A.; Zanna, A. 15 1996 On highly oscillatory problems arising in electronic engineering. Zbl 1172.78009Condon, Marissa; Deaño, Alfredo; Iserles, Arieh 14 2009 Expansions that grow on trees. Zbl 1126.34310Iserles, Arieh 13 2002 On Cayley-transform methods for the discretization of Lie-group equations. Zbl 1014.65060Iserles, A. 13 2001 A first course in the numerical analysis of differential equations. Zbl 0841.65001Iserles, Arieh 13 1995 Equilibria of Runge-Kutta methods. Zbl 0693.65047Hairer, E.; Iserles, A.; Sanz-Serna, J. M. 13 1990 On the theory of biorthogonal polynomials. Zbl 0662.42017Iserles, Arieh; Nørsett, Syvert P. 13 1988 On second-order differential equations with highly oscillatory forcing terms. Zbl 1194.34019Condon, Marissa; Deaño, Alfredo; Iserles, Arieh 12 2010 On nonlinear delay differential equations. Zbl 0804.34065Iserles, A. 12 1994 On transformations and zeros of polynomials. Zbl 0754.26007Iserles, Arieh; Nørsett, Syvert P.; Saff, E. B. 12 1991 Symmetric and arbitrarily high-order Birkhoff-Hermite time integrators and their long-time behaviour for solving nonlinear Klein-Gordon equations. Zbl 1380.65052Liu, Changying; Iserles, Arieh; Wu, Xinyuan 11 2018 Computing highly oscillatory integrals. Zbl 1400.65004Deaño, Alfredo; Huybrechs, Daan; Iserles, Arieh 11 2018 A fast and simple algorithm for the computation of Legendre coefficients. Zbl 1211.33001Iserles, Arieh 11 2011 On the computation of highly oscillatory multivariate integrals with stationary points. Zbl 1106.65020Iserles, A.; Nørsett, S. P. 11 2006 On the method of Neumann series for highly oscillatory equations. Zbl 1071.65099Iserles, A. 11 2004 Embedding of delay equations into an infinite-dimensional ODE system. Zbl 0817.34045Feldstein, Alan; Iserles, Arieh; Levin, David 11 1995 Zeros of expansions in orthogonal polynomials. Zbl 0679.33007Iserles, A.; Saff, E. B. 11 1989 From high oscillation to rapid approximation. IV: Accelerating convergence. Zbl 1218.65154Huybrechs, Daan; Iserles, Arieh; Nørsett, Syvert P. 10 2011 On orthogonal polynomials transformed by the QR algorithm. Zbl 0764.65008Buhmann, M. D.; Iserles, A. 10 1992 Order stars and a saturation theorem for first-order hyperbolics. Zbl 0493.65039Iserles, Arieh 10 1982 The computation of the spectra of highly oscillatory Fredholm integral operators. Zbl 1238.65123Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P. 9 2011 Unified approach to spurious solutions introduced by time discretization. II: BDF-like methods. Zbl 0760.65071Iserles, A.; Stuart, A. M. 9 1992 Order stars and rational approximants to exp(z). Zbl 0674.65043Iserles, Arieh; Nørsett, Syvert P. 9 1989 On the A-acceptability of rational approximations that interpolate the exponential function. Zbl 0472.41013Iserles, A.; Powell, M. J. D. 9 1981 Efficient methods for linear Schrödinger equation in the semiclassical regime with time-dependent potential. Zbl 1372.65280Bader, Philipp; Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav 8 2016 On systems of differential equations with extrinsic oscillation. Zbl 1207.65093Condon, Marissa; Deaño, Alfredo; Iserles, Arieh 8 2010 On numerical methods for highly oscillatory problems in circuit simulation. Zbl 1183.78018Condon, Marissa; Deaño, Alfredo; Iserles, Arieh; Maczynski, Kornel; Xu, Tao 8 2009 Zeros of transformed polynomials. Zbl 0698.33007Iserles, Arieh; Nørsett, Syvert P. 8 1990 Spectral theory of large Wiener-Hopf operators with complex-symmetric kernels and rational symbols. Zbl 1227.47015Böttcher, Albrecht; Grudsky, Sergei; Iserles, Arieh 7 2011 On the singular values and eigenvalues of the Fox-Li and related operators. Zbl 1233.47022Böttcher, Albrecht; Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P. 7 2010 Approximately preserving symmetries in the numerical integration of ordinary differential equations. Zbl 0939.65139Iserles, Arieh; McLachlan, Robert; Zanna, Antonella 7 1999 Beyond the classical theory of computational ordinary differential equations. Zbl 0886.65073Iserles, Arieh 7 1997 Integro-differential equations and generalized hypergeometric functions. Zbl 0880.45005Iserles, Arieh; Liu, Yunkang 7 1997 Numerical analysis of functional equations with a variable delay. Zbl 0795.65048Buhmann, M.; Iserles, A. 7 1992 The dynamics of numerics and the numerics of dynamics. Based on the proceedings of a conference, organized by the Institute of Mathematics and its Applications, held at the University of Bristol, UK, 31st July - 2nd August 1990. Zbl 0745.00036Broomhead, D. S. (ed.); Iserles, A. (ed.) 7 1992 Bi-orthogonality and zeros of transformed polynomials. Zbl 0636.42022Iserles, Arieh; Nørsett, Syvert P. 7 1987 Explicit adaptive symplectic integrators for solving Hamiltonian systems. Zbl 1266.37045Blanes, Sergio; Iserles, Arieh 6 2012 Asymptotic expansion and quadrature of composite highly oscillatory integrals. Zbl 1213.65045Iserles, Arieh; Levin, David 6 2011 Numerical methods on (and off) manifolds. Zbl 0869.65047Iserles, Arieh 6 1997 Barriers to stability. Zbl 0529.65058Strang, Gilbert; Iserles, Arieh 6 1983 Composite exponential approximations. Zbl 0484.65050Iserles, Arieh 6 1982 Numerical stability in the presence of variable coefficients. Zbl 1347.65144Hairer, Ernst; Iserles, Arieh 5 2016 On skew-symmetric differentiation matrices. Zbl 1288.65121Iserles, Arieh 5 2014 Efficient computation of delay differential equations with highly oscillatory terms. Zbl 1270.65032Condon, Marissa; Deaño, Alfredo; Iserles, Arieh; Kropielnicka, Karolina 5 2012 From high oscillation to rapid approximation. V: The equilateral triangle. Zbl 1219.65129Huybrechs, Daan; Iserles, Arieh; Nørsett, Syvert P. 5 2011 A class of integrable flows on the space of symmetric matrices. Zbl 1231.37030Bloch, Anthony M.; Brînzănescu, Vasile; Iserles, Arieh; Marsden, Jerrold E.; Ratiu, Tudor S. 5 2009 On an isospectral Lie-Poisson system and its Lie algebra. Zbl 1105.37033Bloch, Anthony M.; Iserles, Arieh 5 2006 Time symmetry and high-order Magnus methods. Zbl 0996.65071Iserles, A.; Nørsett, S. P.; Rasmussen, A. F. 5 2001 Conservative methods for the Toda lattice equations. Zbl 0963.65130Calvo, M. P.; Iserles, A.; Zanna, A. 5 1999 The asymptotic behaviour of certain difference equations with proportional delays. Zbl 0808.39008Iserles, A. 5 1994 Bi-orthogonality in rational approximation. Zbl 0627.41011Iserles, A.; Saff, E. B. 5 1987 Remarks on the behaviour of zeros of best approximating polynomials and rational functions. Zbl 0627.41009Blatt, H.-P.; Iserles, A.; Saff, E. B. 5 1987 Bi-orthogonal polynomials. Zbl 0578.42019Iserles, Arieh; Nørsett, Syvert P. 5 1985 Applications of Magnus expansions and pseudospectra to Markov processes. Zbl 1427.60167Iserles, A.; Macnamara, S. 3 2019 Orthogonal systems with a skew-symmetric differentiation matrix. Zbl 1428.42048Iserles, Arieh; Webb, Marcus 2 2019 Solving Schrödinger equation in semiclassical regime with highly oscillatory time-dependent potentials. Zbl 1416.81064Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav 2 2019 Solving the wave equation with multifrequency oscillations. Zbl 1434.65200Condon, Marissa; Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav 1 2019 Symmetric and arbitrarily high-order Birkhoff-Hermite time integrators and their long-time behaviour for solving nonlinear Klein-Gordon equations. Zbl 1380.65052Liu, Changying; Iserles, Arieh; Wu, Xinyuan 11 2018 Computing highly oscillatory integrals. Zbl 1400.65004Deaño, Alfredo; Huybrechs, Daan; Iserles, Arieh 11 2018 Magnus-Lanczos methods with simplified commutators for the Schrödinger equation with a time-dependent potential. Zbl 1395.65102Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav 2 2018 An adaptive Filon algorithm for highly oscillatory integrals. Zbl 1405.65028Gao, Jing; Iserles, Arieh 1 2018 Banded, stable, skew-symmetric differentiation matrices of high order. Zbl 1433.65138Hairer, Ernst; Iserles, Arieh 2 2017 Error analysis of the extended filon-type method for highly oscillatory integrals. Zbl 1396.65081Gao, Jing; Iserles, Arieh 2 2017 A generalization of Filon-Clenshaw-Curtis quadrature for highly oscillatory integrals. Zbl 1380.65056Gao, Jing; Iserles, Arieh 1 2017 Arbitrary-order trigonometric Fourier collocation methods for multi-frequency oscillatory systems. Zbl 1341.65029Wang, Bin; Iserles, Arieh; Wu, Xinyuan 48 2016 Efficient methods for linear Schrödinger equation in the semiclassical regime with time-dependent potential. Zbl 1372.65280Bader, Philipp; Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav 8 2016 Numerical stability in the presence of variable coefficients. Zbl 1347.65144Hairer, Ernst; Iserles, Arieh 5 2016 The joy and pain of skew symmetry. Zbl 1357.65151Iserles, Arieh 3 2016 From orthogonal polynomials on the unit circle to functional equations via generating functions. Zbl 1335.42028Cantero, María José; Iserles, Arieh 3 2016 On asymptotic expansion solvers for highly oscillatory semi-explicit DAEs. Zbl 1351.65055Condon, Marissa; Gao, Jing; Iserles, Arieh 1 2016 The unified transform in polygonal domains via the explicit Fourier transform of Legendre polynomials. Zbl 1346.65061Fokas, A. S.; Iserles, A.; Smitheman, S. A. 3 2015 Asymptotic solvers for ordinary differential equations with multiple frequencies. Zbl 1331.65095Condon, Marissa; Deaño, Alfredo; Gao, Jing; Iserles, Arieh 3 2015 Numerical solution of Sturm-Liouville problems via Fer streamers. Zbl 1331.65108Ramos, Alberto Gil C. P.; Iserles, Arieh 2 2015 Effective approximation for the semiclassical Schrödinger equation. Zbl 1302.65230Bader, Philipp; Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav 16 2014 On skew-symmetric differentiation matrices. Zbl 1288.65121Iserles, Arieh 5 2014 Differential equations with general highly oscillatory forcing terms. Zbl 1371.34083Condon, M.; Iserles, A.; Nørsett, S. P. 2 2014 Asymptotic solvers for second-order differential equation systems with multiple frequencies. Zbl 1311.65090Condon, Marissa; Deaño, Alfredo; Gao, Jing; Iserles, Arieh 1 2014 Dirichlet series for dynamical systems of first-order ordinary differential equations. Zbl 1291.37103Wang, Bin; Iserles, Arieh 1 2014 Highly oscillatory diffusion-type equations. Zbl 1299.35011Altınbaşak, Sevda Üsküplü; Condon, Marissa; Deaño, Alfredo; Iserles, Arieh 2 2013 Three stories of high oscillation. Zbl 1360.65189Iserles, Arieh 2 2013 On expansions in orthogonal polynomials. Zbl 1277.42029Cantero, María José; Iserles, Arieh 1 2013 Explicit adaptive symplectic integrators for solving Hamiltonian systems. Zbl 1266.37045Blanes, Sergio; Iserles, Arieh 6 2012 Efficient computation of delay differential equations with highly oscillatory terms. Zbl 1270.65032Condon, Marissa; Deaño, Alfredo; Iserles, Arieh; Kropielnicka, Karolina 5 2012 The Fox-Li operator as a test and a spur for Wiener-Hopf theory. Zbl 1317.47027Böttcher, Albrecht; Grudsky, Sergei; Iserles, Arieh 4 2012 From high oscillation to rapid approximation. II: Expansions in Birkhoff series. Zbl 1364.65232Adcock, Ben; Iserles, Arieh; Nørsett, Syvert P. 4 2012 First-order trace formulae for the iterates of the Fox-Li operator. Zbl 1270.47024Böttcher, Albrecht; Grudsky, Sergei; Huybrechs, Daan; Iserles, Arieh 3 2012 On rapid computation of expansions in ultraspherical polynomials. Zbl 1241.42023Cantero, María José; Iserles, Arieh 3 2012 A fast and simple algorithm for the computation of Legendre coefficients. Zbl 1211.33001Iserles, Arieh 11 2011 From high oscillation to rapid approximation. IV: Accelerating convergence. Zbl 1218.65154Huybrechs, Daan; Iserles, Arieh; Nørsett, Syvert P. 10 2011 The computation of the spectra of highly oscillatory Fredholm integral operators. Zbl 1238.65123Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P. 9 2011 Spectral theory of large Wiener-Hopf operators with complex-symmetric kernels and rational symbols. Zbl 1227.47015Böttcher, Albrecht; Grudsky, Sergei; Iserles, Arieh 7 2011 Asymptotic expansion and quadrature of composite highly oscillatory integrals. Zbl 1213.65045Iserles, Arieh; Levin, David 6 2011 From high oscillation to rapid approximation. V: The equilateral triangle. Zbl 1219.65129Huybrechs, Daan; Iserles, Arieh; Nørsett, Syvert P. 5 2011 Asymptotic solvers for oscillatory systems of differential equations. Zbl 1242.65132Condon, Marissa; Deaño, Alfredo; Iserles, Arieh 3 2011 Magnus expansions and beyond. Zbl 1291.65253Iserles, Arieh 1 2011 Acta Numerica 1992. Reprint of the 1992 hardback ed. Zbl 1207.00045Iserles, Arieh (ed.) 1 2011 The spectral problem for a class of highly oscillatory Fredholm integral operators. Zbl 1185.45002Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P. 16 2010 On second-order differential equations with highly oscillatory forcing terms. Zbl 1194.34019Condon, Marissa; Deaño, Alfredo; Iserles, Arieh 12 2010 On systems of differential equations with extrinsic oscillation. Zbl 1207.65093Condon, Marissa; Deaño, Alfredo; Iserles, Arieh 8 2010 On the singular values and eigenvalues of the Fox-Li and related operators. Zbl 1233.47022Böttcher, Albrecht; Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P. 7 2010 A first course in the numerical analysis of differential equations. 2nd ed. Zbl 1171.65060Iserles, Arieh 122 2009 Highly oscillatory problems. Zbl 1170.37002Engquist, Bjorn (ed.); Fokas, Athanasios (ed.); Hairer, Ernst (ed.); Iserles, Arieh (ed.) 16 2009 From high oscillation to rapid approximation. III: Multivariate expansions. Zbl 1188.65149Iserles, Arieh; Nørsett, Syvert P. 15 2009 On highly oscillatory problems arising in electronic engineering. Zbl 1172.78009Condon, Marissa; Deaño, Alfredo; Iserles, Arieh 14 2009 On numerical methods for highly oscillatory problems in circuit simulation. Zbl 1183.78018Condon, Marissa; Deaño, Alfredo; Iserles, Arieh; Maczynski, Kornel; Xu, Tao 8 2009 A class of integrable flows on the space of symmetric matrices. Zbl 1231.37030Bloch, Anthony M.; Brînzănescu, Vasile; Iserles, Arieh; Marsden, Jerrold E.; Ratiu, Tudor S. 5 2009 From high oscillation to rapid approximation. I: Modified Fourier expansions. Zbl 1221.65348Iserles, Arieh; Nørsett, Syvert P. 28 2008 B-series methods cannot be volume-preserving. Zbl 1128.65054Iserles, A.; Quispel, G. R. W.; Tse, P. S. P. 18 2007 Quadrature methods for multivariate highly oscillatory integrals using derivatives. Zbl 1095.65019Iserles, Arieh; Nørsett, Syvert P. 24 2006 Highly oscillatory quadrature: the story so far. Zbl 1119.65317Iserles, A.; Nørsett, S. P.; Olver, S. 22 2006 Explicit Magnus expansions for nonlinear equations. Zbl 1095.65060Casas, Fernando; Iserles, Arieh 15 2006 On the computation of highly oscillatory multivariate integrals with stationary points. Zbl 1106.65020Iserles, A.; Nørsett, S. P. 11 2006 On an isospectral Lie-Poisson system and its Lie algebra. Zbl 1105.37033Bloch, Anthony M.; Iserles, Arieh 5 2006 Efficient quadrature of highly oscillatory integrals using derivatives. Zbl 1145.65309Iserles, Arieh; Nørsett, Syvert P. 143 2005 On the numerical quadrature of highly-oscillating integrals. II: Irregular oscillators. Zbl 1069.65148Iserles, Arieh 28 2005 Efficient computation of the matrix exponential by generalized polar decompositions. Zbl 1084.65040Iserles, Arieh; Zanna, Antonella 17 2005 Commutators of skew-symmetric matrices. Zbl 1100.17004Block, Anthony M.; Iserles, Arieh 4 2005 On the numerical analysis of rapid oscillation. Zbl 1080.65058Iserles, A. 3 2005 Aspects of generalized double-bracket flows. Zbl 1085.34037Bloch, A. M.; Iserles, A. 1 2005 On quadrature methods for highly oscillatory integrals and their implementation. Zbl 1076.65025Iserles, A.; Nørsett, S. P. 93 2004 On the numerical quadrature of highly-oscillating integrals. I: Fourier transforms. Zbl 1061.65149Iserles, Arieh 48 2004 On the method of Neumann series for highly oscillatory equations. Zbl 1071.65099Iserles, A. 11 2004 On the foundations of computational mathematics. Zbl 1060.65005Baxter, B. J. C.; Iserles, A. 2 2003 On the global error of discretization methods for highly-oscillatory ordinary differential equations. Zbl 1027.65107Iserles, Arieh 26 2002 Think globally, act locally: Solving highly-oscillatory ordinary differential equations. Zbl 1016.65050Iserles, Arieh 20 2002 Expansions that grow on trees. Zbl 1126.34310Iserles, Arieh 13 2002 On the discretization of double-bracket flows. Zbl 1019.65049Iserles, Arieh 3 2002 Methods for the approximation of the matrix exponential in a Lie-algebraic setting. Zbl 1009.65040Celledoni, Elena; Iserles, Arieh 21 2001 On Cayley-transform methods for the discretization of Lie-group equations. Zbl 1014.65060Iserles, A. 13 2001 Time symmetry and high-order Magnus methods. Zbl 0996.65071Iserles, A.; Nørsett, S. P.; Rasmussen, A. F. 5 2001 Semi-explicit methods for isospectral flows. Zbl 0976.65110Calvo, Mari Paz; Iserles, Arieh; Zanna, Antonella 3 2001 Multistep methods on manifolds. Zbl 0974.65077Iserles, Arieh 3 2001 A Magnus expansion for the equation \(Y^{\prime} = AY - YB\). Zbl 0979.34004Iserles, Arieh 3 2001 Acta Numerica 2001. Reprint of the Journal Acta Numerica 10 (2001). Zbl 1231.65007Iserles, Arieh (ed.) 1 2001 Numerical analysis in Lie groups. Zbl 0978.65057Iserles, Arieh 1 2001 Lie-group methods. Zbl 1064.65147Iserles, Arieh; Munthe-Kaas, Hans Z.; Nørsett, Syvert P.; Zanna, Antonella 160 2000 Approximating the exponential from a Lie algebra to a Lie group. Zbl 0956.65009Celledoni, Elena; Iserles, Arieh 27 2000 Preserving algebraic invariants with Runge-Kutta methods. Zbl 0969.65069Iserles, Arieh; Zanna, Antonella 18 2000 How large is the exponential of a banded matrix? Zbl 0968.22016Iserles, Arieh 15 2000 On the dimension of certain graded Lie algebras arising in geometric integration of differential equations. Zbl 1040.34011Iserles, Arieh; Zanna, Antonella 1 2000 On the solution of lienar differential equations in Lie groups. Zbl 0958.65080Iserles, A.; Nørsett, S. P. 97 1999 Geometric integration: Numerical solution of differential equations on manifolds. Zbl 0933.65142Budd, C. J.; Iserles, A. 35 1999 On the implementation of the method of Magnus series for linear differential equations. Zbl 0933.65077Iserles, A.; Marthinsen, A.; Nørsett, S. P. 25 1999 Approximately preserving symmetries in the numerical integration of ordinary differential equations. Zbl 0939.65139Iserles, Arieh; McLachlan, Robert; Zanna, Antonella 7 1999 Conservative methods for the Toda lattice equations. Zbl 0963.65130Calvo, M. P.; Iserles, A.; Zanna, A. 5 1999 Geometric integration: numerical solution of differential equations on manifolds. Zbl 0929.00019Budd, C. J. (ed.); Iserles, A. (ed.) 2 1999 Acta Numerica Vol. 8, 1999. Zbl 0921.00012Iserles, A. (ed.) 1 1999 Runge-Kutta methods for quadratic ordinary differential equations. Zbl 0908.65063Iserles, Arieh; Ramaswami, Geetha; Sofroniou, Mark 4 1998 Acta Numerica Vol. 7, 1998. Zbl 0894.00025Iserles, A. (ed.) 3 1998 On neutral functional-differential equations with proportional delays. Zbl 0873.34066Iserles, Arieh; Liu, Yunkang 40 1997 The pantograph equation in the complex plane. Zbl 0891.34072Derfel, G.; Iserles, A. 36 1997 Numerical solution of isospectral flows. Zbl 0907.65067Calvo, Mari Paz; Iserles, Arieh; Zanna, Antonella 32 1997 Exact and discretized stability of the pantograph equation. Zbl 0880.65058Iserles, Arieh 22 1997 ...and 88 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,798 Authors 72 Iserles, Arieh 44 Marcellán Español, Francisco 31 Xiang, Shuhuang 28 Wu, Xinyuan 25 Wang, Bin 23 Blanes, Sergio 21 Nørsett, Syvert Paul 15 Casas, Fernando 14 Zanna, Antonella 13 Brunner, Hermann 13 Celledoni, Elena 13 Chen, Ruyun 13 Munthe-Kaas, Hans Z. 13 Owren, Brynjulf 13 Sezer, Mehmet 12 Moreno-Balcázar, Juan José 12 Sheng, Qin 11 Huybrechs, Daan 11 Liu, Mingzhu 11 Quispel, Gilles Reinout Willem 11 Sharapudinov, Idris Idrisovich 11 van Brunt, Bruce 10 Bader, Philipp 10 Kang, Hongchao 10 Leok, Melvin 10 Liu, Changying 10 Liu, Yunkang 10 Ma, Junjie 10 Wang, Wansheng 9 Condon, Marissa 9 Deaño, Alfredo 9 Hong, Jialin 9 Piñar, Miguel A. 9 Wang, Haiyong 8 Čermák, Jan 8 Ebrahimi-Fard, Kurusch 8 Fang, Yonglei 8 Lopez, Luciano 8 McLachlan, Robert I. 8 Meijer, Henk G. 8 Olver, Sheehan Shakiban 8 Pérez, Teresa E. 8 Ponsoda, Enrique 8 Siraj-ul-Islam 7 Adcock, Ben 7 Gao, Jing 7 Huang, Chengming 7 Politi, Tiziano 7 Shi, Wei 6 Butcher, John C. 6 Cieśliński, Jan L. 6 Fejzullahu, Bujar Xh. 6 Grudsky, Sergei Mikhailovich 6 Kropielnicka, Karolina 6 Li, Jianbing 6 Liu, Chein-Shan 6 Manchon, Dominique 6 Müller, Andreas 6 Pinzón-Cortés, Natalia Camila 6 Rodríguez García, José Manuel 6 Wake, Graeme Charles 6 Wang, Tao 6 Wang, Xuesong 6 Xiao, Aiguo 6 Xu, Yang 6 Xu, Zhenhua 5 Abdi, Ali 5 Area, Iván 5 Asheim, Andreas 5 Băleanu, Dumitru I. 5 Beylkin, Gregory 5 Böttcher, Albrecht 5 Godoy, Eduardo Paciência 5 Hashemi, Mir Sajjad 5 Jeltsch, Rolf 5 Jimenez, Juan Carlos 5 Lee, Taeyoung 5 Li, Jiyong 5 Mohamad, Sannay 5 Montijano, Juan Ignacio 5 Ostapenko, Vladimir Viktorovich 5 Rández, Luis 5 Singh, Pranav 5 Sun, Jianqiang 5 Xu, Yuesheng 5 You, Xiong 4 Bakaryan, Tigran K. 4 Baker, Christopher T. H. 4 Bao, Weizhu 4 Cai, Haotao 4 Calvo, Manuel 4 Carbonell, Felix 4 Chartier, Philippe 4 Colbrook, Matthew J. 4 Cortés López, Juan Carlos 4 Curry, Charles 4 Deng, Zichen 4 Doha, Eid H. 4 Engquist, Bjorn E. 4 Ford, Neville J. ...and 1,698 more Authors all top 5 Cited in 262 Serials 182 Journal of Computational and Applied Mathematics 104 Applied Mathematics and Computation 88 Applied Numerical Mathematics 63 Journal of Computational Physics 55 BIT 42 Numerical Algorithms 36 Journal of Mathematical Analysis and Applications 35 Computers & Mathematics with Applications 34 Numerische Mathematik 32 Mathematics of Computation 28 Foundations of Computational Mathematics 23 Journal of Approximation Theory 20 Journal of Scientific Computing 15 Applied Mathematics Letters 15 Linear Algebra and its Applications 15 SIAM Journal on Scientific Computing 15 Advances in Computational Mathematics 15 Discrete and Continuous Dynamical Systems 13 Computer Methods in Applied Mechanics and Engineering 13 International Journal of Computer Mathematics 12 Journal of Mathematical Physics 12 SIAM Journal on Numerical Analysis 12 Computational and Applied Mathematics 10 Physica D 10 Abstract and Applied Analysis 9 Numerical Methods for Partial Differential Equations 9 Journal of Difference Equations and Applications 8 Acta Applicandae Mathematicae 8 Mathematical and Computer Modelling 8 Communications in Nonlinear Science and Numerical Simulation 8 Journal of Computational Dynamics 7 Computers and Fluids 7 Journal of Differential Equations 7 Systems & Control Letters 7 Journal of Complexity 7 Celestial Mechanics and Dynamical Astronomy 7 Communications in Numerical Methods in Engineering 7 Nonlinear Dynamics 6 Journal of the Franklin Institute 6 Mathematical Methods in the Applied Sciences 6 Calcolo 6 Proceedings of the American Mathematical Society 6 Constructive Approximation 6 Engineering Analysis with Boundary Elements 6 Mathematical Problems in Engineering 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Frontiers of Mathematics in China 5 Transactions of the American Mathematical Society 5 Multibody System Dynamics 5 Proceedings of the Royal Society of London. 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Series B 2 Bulletin of the Iranian Mathematical Society ...and 162 more Serials all top 5 Cited in 57 Fields 952 Numerical analysis (65-XX) 399 Ordinary differential equations (34-XX) 213 Partial differential equations (35-XX) 158 Harmonic analysis on Euclidean spaces (42-XX) 143 Dynamical systems and ergodic theory (37-XX) 133 Approximations and expansions (41-XX) 130 Special functions (33-XX) 79 Mechanics of particles and systems (70-XX) 70 Integral equations (45-XX) 55 Fluid mechanics (76-XX) 49 Probability theory and stochastic processes (60-XX) 48 Linear and multilinear algebra; matrix theory (15-XX) 38 Quantum theory (81-XX) 38 Systems theory; control (93-XX) 32 Operator theory (47-XX) 32 Biology and other natural sciences (92-XX) 30 Difference and functional equations (39-XX) 27 Mechanics of deformable solids (74-XX) 27 Optics, electromagnetic theory (78-XX) 25 Real functions (26-XX) 24 Differential geometry (53-XX) 21 Functional analysis (46-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 20 Topological groups, Lie groups (22-XX) 20 Functions of a complex variable (30-XX) 19 Statistical mechanics, structure of matter (82-XX) 18 Computer science (68-XX) 16 Nonassociative rings and algebras (17-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Combinatorics (05-XX) 13 Integral transforms, operational calculus (44-XX) 12 Statistics (62-XX) 11 Information and communication theory, circuits (94-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Classical thermodynamics, heat transfer (80-XX) 7 Associative rings and algebras (16-XX) 6 History and biography (01-XX) 6 Number theory (11-XX) 5 Operations research, mathematical programming (90-XX) 3 General and overarching topics; collections (00-XX) 3 Algebraic geometry (14-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Algebraic topology (55-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Group theory and generalizations (20-XX) 2 Geometry (51-XX) 2 Manifolds and cell complexes (57-XX) 2 Geophysics (86-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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